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Finding the Third Proportional to 107,385 and 228,594

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Solution

The third proportional to 107,385 and 228,594 is: 486,615.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,385 : 228,594 = 228,594 : x
  2. Step 2: Convert to fraction form
    107,385/228,594 = 228,594/x
  3. Step 3: Cross multiply
    107,385x = 228,594 × 228,594
  4. Step 4: Simplify right side
    107,385x = 52,255,216,836
  5. Step 5: Solve for x
    x = 52,255,216,836/107,385
  6. Step 6: Final answer
    x = 486,615.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.